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Finding the Fourth Proportional to 19,095, 28,651.60 and 9,228.78

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Solution

The fourth proportional to 19,095, 28,651.60 and 9,228.78 is: 13,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,095 : 28,651.60 = 9,228.78 : x
  2. Step 2: Convert to fraction form
    19,095/28,651.60 = 9,228.78/x
  3. Step 3: Cross multiply
    19,095x = 28,651.60 × 9,228.78
  4. Step 4: Simplify right side
    19,095x = 264,419,313.05
  5. Step 5: Solve for x
    x = 264,419,313.05/19,095
  6. Step 6: Final answer
    x = 13,847.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.